Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

Abstract

In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.

Keywords

• dirichlet problems
• quadratic equations
• maximum principle
• 35b50
• 35b38
• 35j15